Tohoku Mathematical Journal
2019
March
SECOND SERIES VOL. 71, NO. 1

Tohoku Math. J.
71 (2019), 123-136

Title CHARACTERIZATION OF 2-DIMENSIONAL NORMAL MATHER-JACOBIAN LOG CANONICAL SINGULARITIES

Author Kohsuke Shibata and Nguyen Duc Tam

(Received November 11, 2015, revised October 7, 2016)
Abstract. In this paper we characterize 2-dimensional normal Mather-Jacobian log canonical singularities which are not complete intersections. We prove that a 2-dimensional normal singularity which is not a complete intersection is a Mather-Jacobian log canonical singularity if and only if it is a toric singularity with embedding dimension 4.

Mathematics Subject Classification. Primary 14J17; Secondary 14E18, 14M25.
Key words and phrases. Mather Jacobian singularity, surface singularity, Toric varieties.

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